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Finding the Fourth Proportional to 445,207.40, 666,703.31 and 311,461.41

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Solution

The fourth proportional to 445,207.40, 666,703.31 and 311,461.41 is: 466,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,207.40 : 666,703.31 = 311,461.41 : x
  2. Step 2: Convert to fraction form
    445,207.40/666,703.31 = 311,461.41/x
  3. Step 3: Cross multiply
    445,207.40x = 666,703.31 × 311,461.41
  4. Step 4: Simplify right side
    445,207.40x = 207,652,351,426.96
  5. Step 5: Solve for x
    x = 207,652,351,426.96/445,207.40
  6. Step 6: Final answer
    x = 466,417.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.